8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
1/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
2/99
All correct methodsare accepted including
additional
mathematics method
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
3/99
Check the answer
before going to thenext questions.
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
4/99
Show the method.
Underline your answer.
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
5/99
4/ !"# $%UA& #" '
(/) $%UA& #" * 'State your answer in ) decimal
places.
Unit is ignored
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
6/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
7/99
QUADRATIC EQUATIONREARRANGE TO GENERAL FORM OF
QUADRATIC EQUATION
+) =++ cbxax
Factorise ( ) ( ) +=
State the values of x
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
8/99
( ) ( )
(,
*
-
+(-*
=
=+
n
nn
+()+*
+-4(*)-0(*
)
))
=+
=++=+
nn
nnnnnn
Solve the quadratic equatio( )nnn )-(.* ) =+
Factors must begiven by using
the wholenumber1
1 1
1
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
9/99
+()+*
+-4(*)-0(*
)
))
=+
=++=+
nn
nnnnnn
Solve the quadratic equatio
( )nnn )-(.* ) =+
(**+
+(0**.+0 =+
x
nn
1
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
10/99
+()+*
+-4(*)-0(*
)
))
=+
=++=+
nn
nnnnnn
Solve the quadratic equatio
( )nnn )-(*)
=+
(,*
-
+(0*
-0
=
=+
x
nn
1
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
11/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
12/99
1 2 +, 3 2-+-+
3 2 + , 1 2
-+)
+-+)
= =
=+
xx
x
1
2
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
13/99
-+
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
14/99
No Topic Marks
SPM
2006
SPM
2007
SPM
20081 Linear Inequalities 4 3 0
S!M "##$%"##&
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
15/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
16/99
9
3
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
17/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
18/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
19/99
12
3
4
!
=
=
-)tan
1
2
1
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
20/99
6
-
1
2
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
21/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
22/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
23/99
MATHEMATICAL REASONING
5))5 =+
Is the following sentence a statement ?
Give your reason.
State"ent Not accepte#yes
A statement.
It is a false statement.
ans$er
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
24/99
Make a conclusion %& in#uction 'or t(e
nu"%er sequence %elo$
(-)
*-)
--)
+-)
*
)
-
+
=
==
=
*)-+-) = n
n
3 dots
2 MARKS
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
25/99
-1 marks
2n 1
2n
1 , n = 0 , 1 , 2 , 3 , ..
2n 1 , n = 0 , 1 , 2 , 3 ,
2n 1 , n = 0 , 1 , 2 ,
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
26/99
Make a conclusion %& #e#uction 'or t(e
state"ent %elo$ $(en n) 3
(-)* =
-) n
1 1
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
27/99
-)* == pifonlyandifp
*rite t$o i"plication 'ro" t(is
co"poun# state"ent
I' + t(en p) 12!
I' p) 12! + t(en
* =p
* =p2 marks
+ t(en p) 12!
I' p) 12! +
* =p
* =p
no mark
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
28/99
Pre"ise1 , -ll - are .Pre"ise 2 , / is -
/onclusion , C is 6
7%8S#U has ahexagon
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
29/99
/o"plete t(e 'ollo$in aru"ent
-4 =xPre"ise1 , I' 4x) 16 + t(en x) 4Pre"ise 2 ,
/onclusion ,4=x
Pre"ise1 , I' - + t(en BPre"ise 2 , - true
/onclusion , 6 true
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
30/99
/o"plete t(e 'ollo$in aru"ent
Pre"ise1 , I' 4x) 16 + t(en x) 4Pre"ise 2 ,
/onclusion ,
Pre"ise1 , I' - + t(en BPre"ise 2 , - alse
/onclusion ,
6 9alse
4x-4 x
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
31/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
32/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
33/99
1
11
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
34/99
11
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
35/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
36/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
37/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
38/99
min/.+)+
-kmSPEED =
=
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
39/99
hkm /--++
+)
+/-++
--+S7$$:A;$8A
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
40/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
41/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
42/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
43/99
TIME
=!=#=A&S7$$:>9=!A&S7$$:=
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
44/99
)
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
45/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
46/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
47/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
48/99
1
-
-)
)= 1
1
1
1
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
49/99
1
1
1
1
1
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
50/99
1
1
1
1
1
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
51/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
52/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
53/99
*
)4
-+-)
-
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
54/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
55/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
56/99
+ )
-*
)-
-
-(
-=m -=n
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
57/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
58/99
+)--
+*5
=+
=+yx
yx
)--
5*
==
yx
yx
=
5
)--
*-
y
x
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
59/99
=
5)--*-
yx
= 5
---
*)
*0--)0-
-
y
x
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
60/99
=
5
---
*)
*0--)0-
-
y
x
=
=
=
*+
5*+
*--
55--
*--
yx
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
61/99
=
=
=
*+
5*+
*--
55--
*--
yx
*,+
== yx
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
62/99
)
*
,)
*== nm
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
63/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
64/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
65/99
-+,-4,+
44
==
==
+=
yx
yx
xy
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
66/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
67/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
68/99
centre
centre
*
)ntranslatio
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
69/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
70/99
FREQUENCY POLYGONFREQUENCY POLYGON
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
71/99
MIDPOINT
F
R
E
Q
U
E
N
C
Y
FREQUENCY POLYGON
MIDPOINT
F
R
E
Q
U
E
N
C
Y
FREQUENCY POLYGON
Full marks
FREQUENCY POLYGON
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
72/99
MIDPOINT
F
R
E
Q
U
E
N
C
Y
FREQUENCY POLYGON
less mark
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
73/99
/u"ulatie Full mar
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
74/99
pper %oun#ar&
/u"ulatie
'requenc&
/u"ulatie
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
75/99
pper %oun#ar&
/u"ulatie
'requenc&
less mark
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
76/99
li"it
/u"ulatie
'requenc&o mark
pper %oun#ar&
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
77/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
78/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
79/99
Full mark
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
80/99
'#() ')() )#() ))() $#() $)() *#() *)()
Full mark
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
81/99
'+
%
')
'$
%
)#
)+
%
))
)$
%
$#
$+
%
$)
$+
%
*#
*+
%
*)
Full mark
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
82/99
-1 mark
Should have ga!
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
83/99
'+ % ') '$ % )# )+ % )))$ % $#
$+ % $)$+ % *#
*+ % *)
o ,ar-
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
84/99
?-
?-
?) !-
Information of the grah
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
85/99
Information of the grah
Interquartile rane is 20 "inutes
!0 stu#ents took 60 "inutes to co"plete
t(eir co"position
Me#ian is 60 "inutes
"he in#ormation must come #rom the
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
86/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
87/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
88/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
89/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
90/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
91/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
92/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
93/99
2008 FREQUENCY POLYGON
2007 OGIVE
2006 FREQUENCY POLYGON2005 HISTOGRAM
2004 HISTOGRAM2003 OGIVE
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
94/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
95/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
96/99
30
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
97/99
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
98/99
+ -+ $-+ @ 30 E
!0
"
8/9/2019 TIPS PENGARAH JWP MM SPM.ppt
99/99
+ -+ $-+ @ 30 E"
70